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31368613536 = 2532138378369
BaseRepresentation
bin11101001101101101…
…110000111010100000
32222222010120200012100
4131031231300322200
51003220331113121
622224402130400
72160225546531
oct351555607240
988863520170
1031368613536
11123378456a7
1260b5350a00
132c5baa47b0
14173810a688
15c38d6e026
hex74db70ea0

31368613536 has 72 divisors (see below), whose sum is σ = 96066390420. Its totient is φ = 9651879936.

The previous prime is 31368613519. The next prime is 31368613543. The reversal of 31368613536 is 63531686313.

31368613536 is a `hidden beast` number, since 3 + 1 + 36 + 86 + 1 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23722160400 + 7646453136 = 154020^2 + 87444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 31368613491 and 31368613500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4185441 + ... + 4192928.

Almost surely, 231368613536 is an apocalyptic number.

31368613536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31368613536 is an abundant number, since it is smaller than the sum of its proper divisors (64697776884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31368613536 is a wasteful number, since it uses less digits than its factorization.

31368613536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378398 (or 8378387 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 31368613536 in words is "thirty-one billion, three hundred sixty-eight million, six hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8378369 16756738 25135107 33513476 50270214 67026952 75405321 100540428 108918797 134053904 150810642 201080856 217837594 268107808 301621284 326756391 402161712 435675188 603242568 653512782 804323424 871350376 980269173 1206485136 1307025564 1742700752 1960538346 2412970272 2614051128 3485401504 3921076692 5228102256 7842153384 10456204512 15684306768 31368613536